{
 "cells": [
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-24T07:23:13.118360Z",
     "start_time": "2025-04-24T07:23:12.966072Z"
    }
   },
   "cell_type": "code",
   "source": [
    "from sklearn.datasets import load_iris\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "from sklearn.metrics import accuracy_score, precision_score, recall_score, roc_curve, auc\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 加载数据\n",
    "data = load_iris()\n",
    "X, y = data.data, data.target\n",
    "y = (y == 1).astype(int)  # 将问题转换为二分类问题\n",
    "\n",
    "# 划分数据集\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3, random_state=42)\n",
    "\n",
    "# 创建并训练模型\n",
    "model = LogisticRegression()\n",
    "model.fit(X_train, y_train)\n",
    "\n",
    "# 预测\n",
    "y_pred = model.predict(X_test)\n",
    "y_pred_proba = model.predict_proba(X_test)[:, 1]\n",
    "\n",
    "# 计算指标\n",
    "error_rate = 1 - accuracy_score(y_test, y_pred)\n",
    "accuracy = accuracy_score(y_test, y_pred)\n",
    "precision = precision_score(y_test, y_pred)\n",
    "recall = recall_score(y_test, y_pred)\n",
    "\n",
    "# 计算ROC曲线和AUC\n",
    "fpr, tpr, thresholds = roc_curve(y_test, y_pred_proba)\n",
    "roc_auc = auc(fpr, tpr)\n",
    "\n",
    "# 输出指标\n",
    "print(f\"Error Rate: {error_rate}\")\n",
    "print(f\"Accuracy: {accuracy}\")\n",
    "print(f\"Precision: {precision}\")\n",
    "print(f\"Recall: {recall}\")\n",
    "print(f\"AUC: {roc_auc}\")\n",
    "\n",
    "# 绘制ROC曲线\n",
    "plt.figure()\n",
    "plt.plot(fpr, tpr, color='darkorange', lw=2, label='ROC curve (area = %0.2f)' % roc_auc)\n",
    "plt.plot([0, 1], [0, 1], color='navy', lw=2, linestyle='--')\n",
    "plt.xlim([0.0, 1.0])\n",
    "plt.ylim([0.0, 1.05])\n",
    "plt.xlabel('False Positive Rate')\n",
    "plt.ylabel('True Positive Rate')\n",
    "plt.title('Receiver Operating Characteristic')\n",
    "plt.legend(loc=\"lower right\")\n",
    "plt.show()\n"
   ],
   "id": "f964350d0d91f322",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Error Rate: 0.2666666666666667\n",
      "Accuracy: 0.7333333333333333\n",
      "Precision: 0.5714285714285714\n",
      "Recall: 0.3076923076923077\n",
      "AUC: 0.7692307692307693\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 13
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
